What is the Greatest Common Factor of 10017 and 10031?

Greatest common factor (GCF) of 10017 and 10031 is 7.

GCF(10017,10031) = 7

We will now calculate the prime factors of 10017 and 10031, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10017 and 10031.

How to find the GCF of 10017 and 10031?

We will first find the prime factorization of 10017 and 10031. After we will calculate the factors of 10017 and 10031 and find the biggest common factor number .

Step-1: Prime Factorization of 10017

Prime factors of 10017 are 3, 7, 53. Prime factorization of 10017 in exponential form is:

10017 = 3³ × 7¹ × 53¹

Step-2: Prime Factorization of 10031

Prime factors of 10031 are 7, 1433. Prime factorization of 10031 in exponential form is:

10031 = 7¹ × 1433¹

Step-3: Factors of 10017

List of positive integer factors of 10017 that divides 10017 without a remainder.

1, 3, 7, 9, 21, 27, 53, 63, 159, 189, 371, 477, 1113, 1431, 3339

Step-4: Factors of 10031

List of positive integer factors of 10031 that divides 10017 without a remainder.

1, 7, 1433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10017 and 10031. The biggest common factor number is the GCF number.
So the greatest common factor 10017 and 10031 is 7.

Also check out the Least Common Multiple of 10017 and 10031